What is the Least Common Multiple of 29185 and 29200?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 29185 and 29200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29185 and 29200, than apply into the LCM equation.

GCF(29185,29200) = 5
LCM(29185,29200) = ( 29185 × 29200) / 5
LCM(29185,29200) = 852202000 / 5
LCM(29185,29200) = 170440400

Least Common Multiple (LCM) of 29185 and 29200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29185 and 29200. First we will calculate the prime factors of 29185 and 29200.

Prime Factorization of 29185

Prime Factorization of 29200

Now multiplying the highest exponent prime factors to calculate the LCM of 29185 and 29200.

LCM(29185,29200) = 5² × 13¹ × 449¹ × 2⁴ × 73¹
LCM(29185,29200) = 170440400